We give a counter part of Sommerfeld outging radiation condition for waves propagating in a 2d periodic medium under generical assumptions and provide a uniqueness theorem for outgoing solutions.
In this paper we consider minimizers of the Mumford-Shah functional with Dirichlet boundary conditions. We study blow-ups at the boundary and prove an epsilon-regularity theorem.
This work focuses on regularity criteria of 3D generalized magneto-micropolar fluid system in terms of the pressure in Lorentz spaces inspired by the recent works in \cite{FS22} and \cite{LN22}.
In this paper, we show that if a solution to the Muskat problem in the case of different densities and the same viscosity is sufficiently smooth, then it must be analytic except at the points where a turnover of the fluids happens.
We study the Radon transform in the plane in parallel geometry possibly undersampled in the angular variables. We study resolution, aliasing artifacts, and edge recovery.
As an orchestra or a rock star, archaeologists have their audience too. This paper wants to highlight an integrated approach between fieldwork, its account and its dissemination to the public in different ways, including social media. This potential integration has come to life in the 2011 excavation of the Roman mansio of Vignale (Italy) and it has been named “Excava(c)tion”. It doesn’t mean a new way of digging but another way of approaching the excavation, an approach integrated toward and with the public, both on site and on the social Web. “Excava(c)tion” conceives the site as a stage and digging as a performance, through a continuous dialogue between archaeologists and the public. Archaeologists share their work in the form of guided tours (live, theatrical-like performances), communicative diaries and videos (edited, motion-picture performances) and on a blog (www.uominiecoseavignale.it). They receive back comments and oral accounts from the local community about the main themes of common interest. “Excava(c)tion” means engagement both of archaeologists and the public in the pursuit of a global multivocality during archaeological excavation.
We consider Dirichlet heat kernel $p_a^{(μ)}(t,x,y)$ for the Bessel differential operator $L^{(μ)}=\frac{d^2}{dx^2}+\frac{2μ+1}{2x}$, $μ\in\mathbb{R}$, in half-line $(a,\infty)$, $a>0$, and provide its asymptotic expansions for $xy/t\rightarrow\infty$.
In this work we deal with the class of nonlinear (p,q)-Laplacian system. Non-existence results of positive weak solutions for this system are established.
We prove the existence of a mountain-pass solution and the a priori bound property for the electrostatic Klein-Gordon-Maxwell equations in high dimension.
In this paper we study a quasilinear elliptic problem whose functional satisfies a weak version of the well known Palais-Smale condition. An existence result is proved under general assumptions on the nonlinearities.
We give an instability estimate for the Gel'fand inverse boundary value problem at high energies. Our instability estimate shows an optimality of several important preceeding stability results on inverse problems of such a type.
We establish the existence and symmetry of all minimizers of a constrained variational problem involving the fractional gradient. This problem is closely connected to some fractional kinetic equations.
We give an Ito type formula for a semi group whose generarator is a positive pseudo-differential operator which does not in general satisfies maximumu principle.
The aim of this paper is to provide the first application of Theorem 3 of [2] in a case where the dependence of the underlying equation from the real parameter is not of affine type.